y=-5x-2
Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2Hope it helps.
Do comment if you have any query.
Which of the following techniques will provide the most consistently correct result?
PLEASE ANSWER ASAP WILL GIVE brainliest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
Answer:
I would reccomend the first option the path costs $6 per foot
Victor tossed a paper cup and recorded how the cup landed each time. He organized the results as shown below. Find the experimental probability that the cup will land on its side. Express your answer as a fraction in simplest form.
Right side up- 12 times
Upside down- 7 times
On its side- 21 times
Answer:
28/40
Step-by-step explanation:
12+21+7=40
21 times on its side
21/40 cannot be simplified
A farmer has 160 ft. of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fencing along the river.
a) What are the dimensions of the field that has the largest area?
b) What is the maximum area?
Answer:
L and B be the dimensions of field.
L+2B =2400ft.
AreaA = L×B=L×(2400-L)/2=1200L-L^2
For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft
B=(2400-600)/2=900ft.
Total area = 540000ft^2.
Maybe?
Step-by-step explanation:
Quora
Given the quadrilateral below, What is the value of x?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
According to angle sum property of a quadrilateral, Sum of all angles of a quadrilateral measures 360°
So, let's solve for x ~
[tex]\qquad \tt \dashrightarrow \:68 + 126 + 106 + x = 360[/tex]
[tex]\qquad \tt \dashrightarrow \:300+ x = 360[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 360 - 300[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 60 \degree[/tex]
2. A classroom fish tank contains x clchilds. The tank contains 3-times as many glowlight tetras as cichlids.
Enter an equation that represents the total number of glowlight tetras, y, in the fish tank.
The equation that represents the total number of glowlight tetras, y, in the fish tank is y = 3x.
How to form a equation?
The classroom fish tank contains x cichilds. Therefore,
number of cichilds = x
The tank contains 3-times as many glowlight tetras as cichlids.
where
y = total number of glowlight tetras in the fish tank
Therefore, the equation that represents the total number of glowlight tetras, y, in the fish tank is as follows:
y = 3x
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Hello I need a little here with this
What is the value of b?
Answer:
24
Step-by-step explanation:
In triangle STU, line VT bisects angle STU.
-> By angle bisector theorem:
[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]
The value of b is 24
What is angle bisector theorem ?
If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.
i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]
How to find the value of b ?Here, given that, SV = 2b, VU = b+24, ST = TU = 67
∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]
⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]
⇒ [tex]\frac{2b}{b+24}=1[/tex]
⇒ 2b = b+24
⇒ b = 24
Hence, b = 24
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Find the area of the triangle.
16 ft
62 ft
Not drawn to scale.
A. 496 ft2
B. 248 ft?
C. 78 ft2
D. 37 ft2
Answer:
A. 496 ft2
Step-by-step explanation:
area of a triangle is
1/2 times base times height
1/2 times 16 times 62 =
496
Help please, not sure how to do this....
Answer:
[tex]4\sqrt{2b}[/tex]
Step-by-step explanation:
[tex]\sqrt{98b}-\sqrt{72b}+\sqrt{18b}[/tex]
Apply radical rule [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex]:
[tex]\implies \sqrt{98}\sqrt{b} -\sqrt{72}\sqrt{b} +\sqrt{18}\sqrt{b}[/tex]
Factor out common term [tex]\sqrt{b}[/tex]:
[tex]\implies \sqrt{b}(\sqrt{98} -\sqrt{72}+\sqrt{18})[/tex]
Rewrite 98, 72 and 18:
[tex]\implies \sqrt{b}(\sqrt{49 \cdot 2} -\sqrt{36 \cdot 2}+\sqrt{9 \cdot 2})[/tex]
[tex]\implies \sqrt{b}(\sqrt{49}\sqrt{2} -\sqrt{36}\sqrt{2}+\sqrt{9}\sqrt{2})[/tex]
[tex]\implies \sqrt{b}(7\sqrt{2} -6\sqrt{2}+3\sqrt{2})[/tex]
Factor out common term [tex]\sqrt{2}[/tex]:
[tex]\implies \sqrt{b}\sqrt{2}(7 -6+3)[/tex]
[tex]\implies \sqrt{b}\sqrt{2}(4)[/tex]
[tex]\implies 4\sqrt{2b}[/tex]
the angles of a triangle are (x+5)bdegree,(x+10) degree and (x+15) degree. make an equation and find the Actual sizes of the angles
Answer:
See below ~
Step-by-step explanation:
Given : 3 angles of a Δ
(x + 5)°(x + 10)°(x + 15)°Solving :
According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°x + 5 + x + 10 + x + 15 = 1803x + 30 = 180x + 10 = 60x = 50Finding the angles
x + 5 = 50 + 5 = 55°x + 10 = 50 + 10 = 60°x + 15 = 50 + 15 = 65°Can anyone help explaining step by step?
The height of a soccer ball in the air can be modeled by the equation h = -16t^2 +48f, where h is in feet of a ball that Cody kicks down the field.
How long is the ball in the air? (find the zeros).
What is the ball's max height? (find the vertex)
When will the ball reach its maximum height?
Answer:
3 seconds(0, 0), (3, 0)36 ft, (1.5, 36)Step-by-step explanation:
As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.
__
(a)The function can be factored as ...
h = -16t(t -3)
At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.
The zeros are (0, 0) and (3, 0).
This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).
The ball is in the air for 3 seconds.
__
(b)The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.
The ball will reach its maximum height at t=1.5 seconds.
Using the above factored form to find the height, we get ...
h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet
The ball's maximum height is 36 feet.
_____
Additional comment
The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...
x = -b/(2a)
Here, that would be ...
t = -48/(2(-16)) = 3/2
__
A graphing calculator can answer all of these questions quite rapidly.
SOMEBODY SOLVE THE EQUATION
Answer:
(the answer is in fraction form)
x= 2/3 , -5/2
Answer:
[tex]x=-\frac{5}{2} ,x=\frac{2}{3}[/tex]
Hope This Helps! :) Please Give Brainliest!
Write the equation of the line through the points (-6, -19) and (2, 5).
Answer:
y = 3x - 1
Step-by-step explanation:
The slope of a line passing through the two points
P = (x1. y1) and Q = (x2, y2) is given by
m= (y2-y1)/(x2-x1)
We have that x1= -6, y1= -19, x2= 2, y2= 5
m=3
Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).
b= -19-(3)(-6)
b= -1
y = 3x - 1
What is the value of (-4)-3?
1
64
О.
—
1
12
64
ОО
1
12
Answer:
Answer is -1/64
Step-by-step explanation:
Mark me the brilliant
If the total profit per month is Rs 200,000 and the revenue per month can be obtained as twice
the cost per month minus 50,000, find the revenue and cost per month.
Answer:
200000×2
=R400 000 and minus 50000
=300000
How many solutions are there to the equation below?
x²=9
A. 9
B. 0
C. 4
D. 2
E. 3
F. 1
Answer: D) 2
Step-by-step explanation:
x² = 9 means what number times itself is equal to 9
We know that 3×3=9 so that is already one solution, but there is another
-3×-3 is also equal to 9
A negative number times a negative number results in a positive number so -3 is another solution.
That gives us two solutions
Answer:
D; only 2
Step-by-step explanation:
Solve for x over the real numbers:
x^2 = 9
Take the square root of both sides:
Answer: x = 3 or x = -3
HELP
Which speed is equivalent to 1/2 mile per hour?
What is the smallest number which is reversed when 2 is added to its double?
Answer:
25
Step-by-step explanation:
Let the number be 10x+y.
So we have 2(10x+y)+2 = 10y+x, or
20x + 2y + 2 = 10y+x, or
19x=8y-2 …(1)
Try different values of x which satisfy (1) giving an integer value of y. Moreover x should be less than y. The only value of x is 2 which gives us y = 5.
So y = 5 and x = 2.
And the answer is 25.
We can prove this by simply doing the question's equation:
50(since it's the double of 25) + 2 =
50+2= 52
Hope this helps
3. At the school dance the ratio of
students who bought snacks to the
students who did not buy snacks is 4 to 6.
Based on this ratio, how many of these
students would buy a snack if there were
a total of 180 students that attended the
dance?
Answer:
120 students did not buys a snack :)
Step-by-step explanation:
The easiest way to do this is divide :)
Now lets solve!!
180/6 = 30
Now we multiply!!
30 x 4 = 120
Have an amazing day!!
Please rate and mark brainliest!!
valerie drives 500 meteres up a hill that makes an angle of 15 degrees with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?
Answer:
Answer:
The horizontal distance she has covered is:
x = 483.0m
Step-by-step explanation:
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Which diagram is NOT a good model of 3÷1/4?
Answer:
The diagram with three triangles is not a good representation.
The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Sara is packing for vacation. She is taking three shirts: yellow (Y), white (W), , and green (G). She is also taking a pair of jeans (J), a pair of black pants , and a pair of shorts (S). For shoes, she is packing tennis shoes (T) and a pair of dress shoes (D). Each outfit will be made of shirt, pair of pants, and pair of shoes. Which list shows all possible outfits that Sara can create from these options?A. YJ,YB,YS,WJ,WB,WS,GJ,GB GS,TDB. YJ,YB,YS,YT,YD,WJ,WB,WS,WT,WD,GJ,GB,GS,GT,GDC. YBT,YBD,YST,YSD,WBT,WBD,WST,WSD,GBT,GBD,GST,GSDD. YJT,YJD,YBT,YBD,YST,YSD,WJT,WJD,WBT,WBD,WST,WSD,GJT,GJD,GBT,GBD,GST, GSD
Please help
(Also show work) and its volume not SA
Answer:
75 inches cubed
Step-by-step explanation:
V=lwh
2 1/2 = 2.5
4 = 4
7 1/2 = 7.5
2.5 x 4 x 7.5=75
75 cubic inches
PLEASE HELP ME WITH THIS!!!
Complete the sentence.
a figure but does not change its
A rotation is a transformation that
shape or size
A. flips
O B..dilates
O C. slides
O D. turns
SUBMI
Answer:
is TURNS
Step-by-step explanation:
A figure but does not change its shape and size is Turns.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.
A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.
Thus, thus required transformation is Turns.
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Which of the following is most likely the next step in the series?
od
ОА
O
O B.
OC.
OD.
The circles in the figures form a series
The next step in the series is (B)
How to determine the next step?From the figure, we have the following highlights
The first circle has 2 segmentsThe second circle has 4 segmentsThe third circle has 5 segmentsUsing the above pattern, the next circle must have 6 segments
Hence, the next step in the series is (B)
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The value of (2i3)3 is
IS
Answer:
Assuming you mean (2^3)3, the answer is 24
Step-by-step explanation:
using pemdas you do 2 to the third power first
2x2=4 4x2=8
then you mutiply by the number not in parenthesis; 3
8x3 = 24
8r^2(r^2-2) polynomial I’m standard form expand
Answer:
8r^4 -16r^2
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Write the result in order of decreasing powers of the variable.
__
8r^2(r^2 -2) = (8r^2)(r^2) +(8r^2)(-2)
= 8r^4 -16r^2
Consider the line y=7x-1.
Find the equation of the line that is perpendicular to this line and passes through the point (-2, 4).
Find the equation of the line that is parallel to this line and passes through the point (-2, 4).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Answer:
Step-by-step explanation:
find the sum of the first 7 terms of the following series 10,4,8/5
Answer:
16.6
Step-by-step explanation:
Since the numbers are decreasing as multiples, its a geometric progression.
[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]
